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Finding the Fourth Proportional to 48,189.54, 66,506.54 and 27,772.32

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Solution

The fourth proportional to 48,189.54, 66,506.54 and 27,772.32 is: 38,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,189.54 : 66,506.54 = 27,772.32 : x
  2. Step 2: Convert to fraction form
    48,189.54/66,506.54 = 27,772.32/x
  3. Step 3: Cross multiply
    48,189.54x = 66,506.54 × 27,772.32
  4. Step 4: Simplify right side
    48,189.54x = 1,847,040,772.11
  5. Step 5: Solve for x
    x = 1,847,040,772.11/48,189.54
  6. Step 6: Final answer
    x = 38,328.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.